Efficient quantum circuits for machine learning activation functions including constant T-depth ReLU

doi:10.1103/PhysRevResearch.6.043048

Efficient quantum circuits for machine learning activation functions including constant T-depth ReLU

2024-10-18

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DOI：10.1103/PhysRevResearch.6.043048

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In recent years, Quantum Machine Learning (QML) has increasingly captured the interest of researchers. Among the components in this domain, activation functions hold a fundamental and indispensable role. Our research focuses on the development of activation functions quantum circuits for integration into fault-tolerant quantum computing architectures, with an emphasis on minimizing T-depth. Specifically, we present novel implementations of ReLU and leaky ReLU activation functions, achieving constant T-depths of 4 and 8, respectively. Leveraging quantum lookup tables, we extend our exploration to other activation functions such as the sigmoid. This approach enables us to customize precision and T-depth by adjusting the number of qubits, making our results more adaptable to various application scenarios. This study represents a significant advancement towards enhancing the practicality and application of quantum machine learning.

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Efficient quantum circuits for machine learning activation functions including constant T-depth ReLU

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